Linear Equations in Two Variables — Question 2

Given, equation :

⇒ 2x + y = 7

Substituting x = 0 in the given equation, we get :

⇒ 2(0) + y = 7

⇒ 0 + y = 7

⇒ y = 7

∴ Solution is (0, 7).

Substituting x = 1 in the given equation, we get :

⇒ 2(1) + y = 7

⇒ 2 + y = 7

⇒ y = 7 - 2

⇒ y = 5

∴ Solution is (1, 5).

Substituting x = 2 in the given equation, we get :

⇒ 2(2) + y = 7

⇒ 4 + y = 7

⇒ y = 7 - 4

⇒ y = 3

∴ Solution is (2, 3).

Substituting x = 3 in the given equation, we get :

⇒ 2(3) + y = 7

⇒ 6 + y = 7

⇒ y = 7 - 6

⇒ y = 1

∴ Solution is (3, 1).

Hence, solutions for equation 2x + y = 7 are (0, 7), (1, 5), (2, 3) and (3, 1).